Symplectic non-squeezing and Hamiltonian PDE
Dimitrije Cicmilovic (University of Bonn)
Abstract: In this talk we shall discuss infinite dimensional generalization of Gromov's sympelctic nonsqueezing result. As an application we will present mass subcritical and critical nonlinear Schrodinger equation. Nonsqueezing property of the said flows was already known, however the techniques used are based on finite dimensional Gromov's result, while ours presents a more natural way of looking at the Hamiltonian structure of the equations. Additionally, we shall remark on future projects in terms of application of the non-squeezing property. Joint work with Herbert Koch.
analysis of PDEsclassical analysis and ODEs
Audience: researchers in the topic
Series comments: Description: A senior graduate student/postdoc series in harmonic analysis, geometric measure theory, and partial differential equations.
Meetings will be weekly, and usually will occur on Monday, with some exceptions. For each talk, the Zoom link is made available in the website too. Contact Bruno Poggi at poggi008@umn.edu if you would like to subscribe to the seminar mailing list.
| Organizers: | Bruno Poggi*, Ryan Matzke, Jose Luis Luna Garcia* |
| *contact for this listing |